Answer:
The 17th term in arithmetic sequence is 68
Step-by-step explanation:
The general formula of arithmetic sequence is:
aₙ = a₁ + (n – 1)d.
We are given a₆ = 101 and a₉ = 83 and we need to find a₁₇
To find the term a₁₇ we should know a₁ and d. So we would find both
a₆ = a₁ +(6-1)d
101 = a₁ +(5)d
101 = a₁ +5d eq(1)
and
a₉ = a₁ +(9-1)d
83 = a₁ + 8d eq(2)
Subtracting eq(2) from eq(1)
101 = a₁ +5d
83 = a₁ + 8d
- - -
__________
18 = -3d
=> d = 18/-3
=> d = -6
Putting value of d in eq(1)
101 = a₁ + 5d
101 = a₁ + 5(-3)
101 = a₁ -15
=> a₁ = 101+15
=> a₁ = 116
Now finding a₁₇:
aₙ = a₁ + (n – 1)d.
a₁₇ = 116 +(17-1)(-3)
a₁₇ = 116+(16)(-3)
a₁₇ = 116 - 48
a₁₇ = 68
So, the 17th term in arithmetic sequence is 68
Answer:
last one
Step-by-step explanation:
p=21 + 2w
p-21=2w
p-21/2=w
Answer:
2nd answer choice
Step-by-step explanation:
Note that g(x) is a 2nd order polynomial whose graph is the familiar parabola that opens up. f(x) is, by contrast, a 2nd order polynomial whose graph is the familiar parabola that opens down.
The graph starts in Quadrant III and ends in Quadrant IV.
While in Quadrant III: if x increases, y decreases.
While in Quadrant IV: if x increases, y decreases.
This is the 2nd answer choice.
Answer:
I believe it is D
Step-by-step explanation:
Hope this helps!